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2 years ago

HELP I HAVE A CLASS SOON

Mathematics

1 answer:

Margarita [4]2 years ago

4 0

Answer:

ΔTFS ≅ ΔRFS (sas) because:

+) FT = FR (given)

+) FS ≅ FS (in the picture)

+) ∠TFS = ∠RFS ( SF bisects ∠TFR)

Step-by-step explanation:

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Ray is boiling water at 99°C. Which of the following best describes 99°C?<br> please help

kolezko [41]

99+99=198 so it is 198°C

7 0

3 years ago

Suppose we roll a fair die and let X represent the number on the die. (a) Find the moment generating function of X. (b) Use the

Likurg_2 [28]

Answer:

(a) moment generating function for X is $\frac{1}{6}\left(e^{t}+e^{2 t}+e^{2 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$

(b) $\mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}$

Step-by step explanation:

Given X represents the number on die.

The possible outcomes of X are 1, 2, 3, 4, 5, 6.

For a fair die, $P(X)=\frac{1}{6}$

(a) Moment generating function can be written as $M_{x}(t)$ .

$M_x(t)=\sum_{x=1}^{6} P(X=x)$

$M_{x}(t)=\frac{1}{6} e^{t}+\frac{1}{6} e^{2 t}+\frac{1}{6} e^{3 t}+\frac{1}{6} e^{4 t}+\frac{1}{6} e^{5 t}+\frac{1}{6} e^{6 t}$

$M_x(t)=\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$

(b) Now, find $E(X) \text { and } E\((X^{2})$ using moment generating function

$M^{\prime}(t)=\frac{1}{6}\left(e^{t}+2 e^{2 t}+3 e^{3 t}+4 e^{4 t}+5 e^{5 t}+6 e^{6 t}\right)$

$M^{\prime}(0)=E(X)=\frac{1}{6}(1+2+3+4+5+6)$

$\Rightarrow E(X)=\frac{21}{6}$

$M^{\prime \prime}(t)=\frac{1}{6}\left(e^{t}+4 e^{2 t}+9 e^{3 t}+16 e^{4 t}+25 e^{5 t}+36 e^{6 t}\right)$

$M^{\prime \prime}(0)=E(X)=\frac{1}{6}(1+4+9+16+25+36)$

$\Rightarrow E\left(X^{2}\right)=\frac{91}{6}$

Hence, (a) moment generating function for X is $\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$ .

(b) $\mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}$

6 0

2 years ago

An acute angle ? is in a right triangle with cos ? = nine tenths. what is the value of sec ?? square root of nineteen divided by

Anon25 [30]

What...................................numberxs

6 0

2 years ago

7. Seven times a number is equal to 12 more than 3 times the number.

Jet001 [13]

Answer:

7n = 12+ 3n

Step-by-step explanation:

The first thing to do is subtract 3n from 7n. This would get you 4n = 12. 4 times 3 equals 12, so n equals 3.

To check your answer. 21 = 12+9. sure enough it matches our answer

4 0

2 years ago

Captain Emily has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Ashley and her merciless band

aalyn [17]

Answer:

1/2

Step-by-step explanation:

Since the Captain shoots first, the probability of a hit on the pirate ship is 1/2. In the event of a hit, the pirate will always miss (p(miss|hit)=1), so ...

... p(hit, miss) = 1/2

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2 years ago